Approximation of Convex Bodies by Centrally Symmetric Bodies

Geometriae Dedicata

Volumn 72, Issue 1, 1998, Pages 63-68

  Lassak, Marek ^a  

^a UNIVERSITY OF TECHNOLOGY AND LIFE SCIENCES   (Poland)

Author keywords

Affine transformation; Approximation; Banach mazur distance; Convex body; Volume

Indexed keywords

EID: 0040775278     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005055415136     Document Type: Article

References (9)

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4. Lassak, M.: Approximation of plane convex bodies by centrally symmetric bodies, J. London Math. Soc. (2) 40 (1989), 369-377.
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6. Lassak, M.: Parallelotopes of maximum volume in a simplex, Discrete Comput. Geom., in print.
7. Lindenstrauss, J. and Milman, V. D.: The local theory of normed spaces and its applications to convexity, in P. Gruber and J. Wills (eds.), Handbook of Convex Geometry, North-Holland, Amsterdam, 1993, pp. 1149-1220.
8. Pełczyński, A.: Structural theory of Banach spaces and its interplay with analysis and probability, Proc. Int. Congr. Mathematicians 1982, PWN - Polish Scientific Publishers Warsaw and North-Holland, Amsterdam, 1983, pp. 237-269.
9. ∞ and random matrices, Amer. J. Math. 112 (1990), 899-942.